Schrödinger equation with time-dependent boundary conditions
A. MunierCommissariat à l’Energie Atomique, Centre d’Etudes de Limeil, B.P. 27, 94190 Villeneuve St. Georges, FranceJ. R. BurganCommissariat à l’Energie Atomique, Centre d’Etudes de Limeil, B.P. 27, 94190 Villeneuve St. Georges, FranceMarc FeixCommissariat à l’Energie Atomique, Centre d’Etudes de Limeil, B.P. 27, 94190 Villeneuve St. Georges, FranceE. FijalkowCommissariat à l’Energie Atomique, Centre d’Etudes de Limeil, B.P. 27, 94190 Villeneuve St. Georges, France
1981en
ABI
Annotatsiya
A Schrödinger equation for a well potential with varying width is studied. Generalized canonical transformations are shown to transform the problem into a time-dependent harmonic oscillator problem submitted to fixed boundary conditions. This transformed problem is solved by a perturbation technique and gives the evolution of the average energy of the system according to the motion of the well. Motions corresponding to a renormalization or compaction group are shown to be solvable by separation of variables.
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